Uniform attractors for nonautonomous wave equations with Nonlinear damping

doi:10.1137/060663805

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	Uniform attractors for nonautonomous wave equations with Nonlinear damping
	Sun, Chunyou ; Cao, Daomin; Duan, Jinqiao
	2007
发表期刊	SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
ISSN	1536-0040
卷号	6 期号:2 页码:293-318
摘要	We consider dynamical behavior of nonautonomous wave-type evolutionary equations with nonlinear damping, critical nonlinearity, and time-dependent external forcing which is translation bounded but not translation compact (i. e., external forcing is not necessarily time-periodic, quasi-periodic, or almost periodic). A sufficient and necessary condition for the existence of uniform attractors is established using the concept of uniform asymptotic compactness. A new method for verifying uniform asymptotic compactness is devised. The required compactness for the existence of uniform attractors is then fullled by some new a priori estimates for concrete wave-type equations arising from applications. The structure of uniform attractors is obtained by constructing a skew product. ow on the extended phase space.
关键词	nonautonomous systems wave equation nonlinear damping critical exponent uniform attractor norm-to-weak continuous process
DOI	10.1137/060663805
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000248102900001
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5093
专题	应用数学研究所
通讯作者	Sun, Chunyou
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 3.IIT, Dept Appl Math, Chicago, IL 60616 USA
推荐引用方式 GB/T 7714	Sun, Chunyou,Cao, Daomin,Duan, Jinqiao. Uniform attractors for nonautonomous wave equations with Nonlinear damping[J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS,2007,6(2):293-318.
APA	Sun, Chunyou,Cao, Daomin,&Duan, Jinqiao.(2007).Uniform attractors for nonautonomous wave equations with Nonlinear damping.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS,6(2),293-318.
MLA	Sun, Chunyou,et al."Uniform attractors for nonautonomous wave equations with Nonlinear damping".SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 6.2(2007):293-318.